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Finding the Fourth Proportional to 16,564.14, 22,858.07 and 9,395.37

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Solution

The fourth proportional to 16,564.14, 22,858.07 and 9,395.37 is: 12,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.14 : 22,858.07 = 9,395.37 : x
  2. Step 2: Convert to fraction form
    16,564.14/22,858.07 = 9,395.37/x
  3. Step 3: Cross multiply
    16,564.14x = 22,858.07 × 9,395.37
  4. Step 4: Simplify right side
    16,564.14x = 214,759,978.16
  5. Step 5: Solve for x
    x = 214,759,978.16/16,564.14
  6. Step 6: Final answer
    x = 12,965.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.